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Mathematics 10 Online
OpenStudy (anonymous):

Anyone good with solving by elimination?

pooja195 (pooja195):

Post the question

OpenStudy (anonymous):

2m=-4n-4 3m+5n=-3

Vocaloid (vocaloid):

start by rewriting the first equation to match the format of the second equation 2m + 4n = -4 3m + 5n = -3 start by multiplying the first equation by 3 and tell me what you get

OpenStudy (anonymous):

6+12=-12

Vocaloid (vocaloid):

don't forget the variables, those are important

Vocaloid (vocaloid):

6m + 12n = -12

Vocaloid (vocaloid):

now multiply the second equation by (-2)

OpenStudy (anonymous):

ok -6m+-10n=-6

Vocaloid (vocaloid):

almost, should be positive 6 at the end

OpenStudy (anonymous):

oh yes sorry

Vocaloid (vocaloid):

so we have 6m + 12n = -12 -6m - 10n = 6 now add the two equations together

OpenStudy (anonymous):

0m+2n=-6

Vocaloid (vocaloid):

good, so n = ?

OpenStudy (anonymous):

-3

Vocaloid (vocaloid):

good. so, we can take one of the equations 2m + 4n = -4 and plug in n to solve for m 2m + 4(-3) = -4 m = ?

OpenStudy (anonymous):

-2?

Vocaloid (vocaloid):

not quite 2m - 12 = -4 2m = 8 m = ?

OpenStudy (anonymous):

4

Vocaloid (vocaloid):

good, so m = 4 and n = -3, and that's our solution

OpenStudy (anonymous):

You're the best , thank you

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